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TS EAMCET · Chemistry · States of Matter

At \(300 \mathrm{~K}\) and 760 torr pressure, the density of a mixture of \(\mathrm{He}\) and \(\mathrm{O}_2\) gases is \(0.543 \mathrm{gL}^{-1}\). The mass percent of oxygen approximately is \(\left(\mathrm{R}=0.0821 \mathrm{~L} \mathrm{~atm} \mathrm{~K}^{-1} \mathrm{~mol}^{-1}\right)\)

  1. A \(33\)
  2. B \(80\)
  3. C \(20\)
  4. D \(67\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(80\)

Step-by-step Solution

Detailed explanation

\(\mathrm{PV}=\mathrm{nRT}\) or \(\mathrm{PV}=\mathrm{RT}\) (for \(1 \mathrm{~mole}\) ) \(\Rightarrow \mathrm{V}=\frac{\mathrm{RT}}{\mathrm{P}}=\frac{(0.0821)(300)}{1}(760 \text { torr }=1 \mathrm{~atm})\) \(=24.63 \mathrm{~L}\) (of the mixture) \(\Rightarrow\) Total mass of the…